Evaluations of sums involving odd harmonic numbers and binomial coefficients

被引：0
|
作者：
Zheng, W. [1 ]
Yang, Y. [2 ]
机构：
[1] Jiangsu Second Normal Univ, Sch Phys & Informat Engn, Nanjing 210013, Peoples R China
[2] Tarm Univ, Sch Mech & Elect Engn, Alar 843300, Peoples R China
来源：
ANALYSIS MATHEMATICA | 2024年 / 50卷 / 01期
关键词：
Euler T-type sum; Kaneko-Tsumura's multiple T-value; odd harmonic number; binomial coefficient; MULTIPLE ZETA VALUES; EULER;
D O I：
10.1007/s10476-024-00011-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we extend tools developed in [9] to study Euler T-type sums involving odd harmonic numbers and binomial coefficients. In particular, we will prove that two kinds of Euler T-type sums can be expressed in terms of log(2), zeta values, double T-values, (odd) harmonic numbers and double T-sums.
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页码：1 / 30
页数：30
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